If x a^2+ab+b^2 = y b^2+bc+c^2 = z c^2+ca+a^2 , then x^ a-b y^ b-c z^ c-a =

JEE Main Mathematics question

If , then

Answer: (C)

Let the common value be ; then $=k[(a-+ab++(b-+bc++(c-+ca+a^

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Question ID VK-021793